Question

8 men and 12 boys can finish a piece of work in 10 days while 6 men and 8 boys can finish it in 14 days. Find the time taken by one man alone and that by one boy alone to finish the work.

Answer 1

Let one man alone can finish the work in x days and one boy alone can finish the work in y days. Then,

By using cross-multiplication, we have

Hence, one man alone can finish the work in 140 days and one boy alone can finish the work in 280 days.